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cell_hex8.h
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1// The libMesh Finite Element Library.
2// Copyright (C) 2002-2026 Benjamin S. Kirk, John W. Peterson, Roy H. Stogner
3
4// This library is free software; you can redistribute it and/or
5// modify it under the terms of the GNU Lesser General Public
6// License as published by the Free Software Foundation; either
7// version 2.1 of the License, or (at your option) any later version.
8
9// This library is distributed in the hope that it will be useful,
10// but WITHOUT ANY WARRANTY; without even the implied warranty of
11// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
12// Lesser General Public License for more details.
13
14// You should have received a copy of the GNU Lesser General Public
15// License along with this library; if not, write to the Free Software
16// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
17
18
19
20#ifndef LIBMESH_CELL_HEX8_H
21#define LIBMESH_CELL_HEX8_H
22
23// Local includes
24#include "libmesh/cell_hex.h"
25
26namespace libMesh
27{
28
55class Hex8 final : public Hex
56{
57public:
58
62 explicit
63 Hex8 (Elem * p=nullptr) :
65 {}
66
67 Hex8 (Hex8 &&) = delete;
68 Hex8 (const Hex8 &) = delete;
69 Hex8 & operator= (const Hex8 &) = delete;
70 Hex8 & operator= (Hex8 &&) = delete;
71 virtual ~Hex8() = default;
72
76 virtual ElemType type () const override { return HEX8; }
77
81 virtual unsigned int n_nodes() const override { return num_nodes; }
82
86 virtual unsigned int n_sub_elem() const override { return 1; }
87
91 virtual bool is_vertex(const unsigned int i) const override;
92
96 virtual bool is_edge(const unsigned int i) const override;
97
101 virtual bool is_face(const unsigned int i) const override;
102
107 virtual bool is_node_on_side(const unsigned int n,
108 const unsigned int s) const override;
109
110 virtual std::vector<unsigned int> nodes_on_side(const unsigned int s) const override;
111
112 virtual std::vector<unsigned int> nodes_on_edge(const unsigned int e) const override;
113
118 virtual bool is_node_on_edge(const unsigned int n,
119 const unsigned int e) const override;
120
125 virtual bool has_affine_map () const override;
126
130 virtual Order default_order() const override;
131
136 virtual std::unique_ptr<Elem> build_side_ptr (const unsigned int i) override;
137
141 virtual void build_side_ptr (std::unique_ptr<Elem> & elem,
142 const unsigned int i) override;
143
144 // Avoid hiding deprecated version with different signature
146
151 virtual std::unique_ptr<Elem> build_edge_ptr (const unsigned int i) override;
152
156 virtual void build_edge_ptr (std::unique_ptr<Elem> & edge, const unsigned int i) override;
157
158 virtual void connectivity(const unsigned int sc,
159 const IOPackage iop,
160 std::vector<dof_id_type> & conn) const override;
161
165 static const int num_nodes = 8;
166 static const int nodes_per_side = 4;
167 static const int nodes_per_edge = 2;
168
173 static const unsigned int side_nodes_map[num_sides][nodes_per_side];
174
179 static const unsigned int edge_nodes_map[num_edges][nodes_per_edge];
180
190 const Point & x0, const Point & x1, const Point & x2, const Point & x3,
191 const Point & x4, const Point & x5, const Point & x6, const Point & x7);
192
198 virtual Point true_centroid () const override;
199
204 virtual Real volume () const override;
205
209 virtual BoundingBox loose_bounding_box () const override;
210
211 virtual void permute(unsigned int perm_num) override final;
212
213 virtual void flip(BoundaryInfo *) override final;
214
215 ElemType side_type (const unsigned int s) const override final;
216
217 virtual Point side_vertex_average_normal(const unsigned int s) const override final;
218
219protected:
220
225
226
227
228#ifdef LIBMESH_ENABLE_AMR
229
233 virtual Real embedding_matrix (const unsigned int i,
234 const unsigned int j,
235 const unsigned int k) const override
236 { return _embedding_matrix[i][j][k]; }
237
243
245
246#endif // LIBMESH_ENABLE_AMR
247};
248
249} // namespace libMesh
250
251#endif // LIBMESH_CELL_HEX8_H
The BoundaryInfo class contains information relevant to boundary conditions including storing faces,...
Defines a Cartesian bounding box by the two corner extremum.
This is the base class from which all geometric element types are derived.
Definition elem.h:96
virtual std::unique_ptr< Elem > build_side_ptr(const unsigned int i)=0
The Hex8 is an element in 3D composed of 8 nodes.
Definition cell_hex8.h:56
virtual Point true_centroid() const override
We compute the centroid of the Hex using a customized numerical quadrature approach that avoids unnec...
Definition cell_hex8.C:407
virtual std::vector< unsigned int > nodes_on_side(const unsigned int s) const override
Definition cell_hex8.C:97
Node * _nodelinks_data[num_nodes]
Data for links to nodes.
Definition cell_hex8.h:224
ElemType side_type(const unsigned int s) const override final
Definition cell_hex8.C:530
Hex8(Hex8 &&)=delete
virtual ~Hex8()=default
Hex8(const Hex8 &)=delete
LIBMESH_ENABLE_TOPOLOGY_CACHES
Definition cell_hex8.h:244
virtual bool is_node_on_side(const unsigned int n, const unsigned int s) const override
Definition cell_hex8.C:87
virtual std::unique_ptr< Elem > build_side_ptr(const unsigned int i) override
Builds a QUAD4 built coincident with face i.
Definition cell_hex8.C:146
static const unsigned int edge_nodes_map[num_edges][nodes_per_edge]
This maps the node of the edge to element node numbers.
Definition cell_hex8.h:179
Hex8(Elem *p=nullptr)
Constructor.
Definition cell_hex8.h:63
virtual unsigned int n_nodes() const override
Definition cell_hex8.h:81
virtual bool is_vertex(const unsigned int i) const override
Definition cell_hex8.C:71
virtual void flip(BoundaryInfo *) override final
Flips the element (by swapping node and neighbor pointers) to have a mapping Jacobian of opposite sig...
Definition cell_hex8.C:512
virtual std::vector< unsigned int > nodes_on_edge(const unsigned int e) const override
Definition cell_hex8.C:104
virtual unsigned int n_sub_elem() const override
Definition cell_hex8.h:86
virtual Point side_vertex_average_normal(const unsigned int s) const override final
Definition cell_hex8.C:538
static const int num_nodes
Geometric constants for Hex8.
Definition cell_hex8.h:165
virtual std::unique_ptr< Elem > build_edge_ptr(const unsigned int i) override
Builds a EDGE2 built coincident with edge i.
Definition cell_hex8.C:161
virtual bool is_node_on_edge(const unsigned int n, const unsigned int e) const override
Definition cell_hex8.C:110
static Point centroid_from_points(const Point &x0, const Point &x1, const Point &x2, const Point &x3, const Point &x4, const Point &x5, const Point &x6, const Point &x7)
Class static helper function that computes the centroid of a hexahedral region from a set of input po...
Definition cell_hex8.C:336
static const int nodes_per_edge
Definition cell_hex8.h:167
virtual bool is_face(const unsigned int i) const override
Definition cell_hex8.C:82
virtual void permute(unsigned int perm_num) override final
Permutes the element (by swapping node and neighbor pointers) according to the specified index.
Definition cell_hex8.C:461
virtual ElemType type() const override
Definition cell_hex8.h:76
static const Real _embedding_matrix[num_children][num_nodes][num_nodes]
Matrix that computes new nodal locations/solution values from current nodes/solution.
Definition cell_hex8.h:242
virtual bool is_edge(const unsigned int i) const override
Definition cell_hex8.C:77
virtual bool has_affine_map() const override
Definition cell_hex8.C:121
virtual Real volume() const override
A specialization for computing the area of a hexahedron with flat sides.
Definition cell_hex8.C:415
static const unsigned int side_nodes_map[num_sides][nodes_per_side]
This maps the node of the side to element node numbers.
Definition cell_hex8.h:173
Hex8 & operator=(const Hex8 &)=delete
static const int nodes_per_side
Definition cell_hex8.h:166
virtual Real embedding_matrix(const unsigned int i, const unsigned int j, const unsigned int k) const override
Matrix used to create the elements children.
Definition cell_hex8.h:233
virtual void connectivity(const unsigned int sc, const IOPackage iop, std::vector< dof_id_type > &conn) const override
Definition cell_hex8.C:175
virtual Order default_order() const override
Definition cell_hex8.C:139
virtual BoundingBox loose_bounding_box() const override
Builds a bounding box out of the nodal positions.
Definition cell_hex8.C:454
The Hex is an element in 3D with 6 sides.
Definition cell_hex.h:37
static const int num_edges
Definition cell_hex.h:74
static const int num_sides
Geometric constants for all Hexes.
Definition cell_hex.h:73
static const int num_children
Definition cell_hex.h:75
A Node is like a Point, but with more information.
Definition node.h:55
A Point defines a location in LIBMESH_DIM dimensional Real space.
Definition point.h:40
The libMesh namespace provides an interface to certain functionality in the library.
IOPackage
libMesh interfaces with several different software packages for the purposes of creating,...
ElemType
Defines an enum for geometric element types.
DIE A HORRIBLE DEATH HERE typedef LIBMESH_DEFAULT_SCALAR_TYPE Real